Physicists develop efficient calculation method for particle collisions
Theoretical physicists Eric Laenen, Kasper Larsen and Robbert Rietkerk of the University of Amsterdam, FOM Institute Nikhef and the ETH Zurich have developed a method to efficiently compute relevant information about particle collisions. Their approach has been published in the prestigious journal Physical Review Letters, and is featured on its cover.
Collisions between elementary particle, such as occur at the Large Hadron Collider in Geneva, are typically very complicated. Predicting the outcomes of such collisions accurately requires likewise very involved calculations. To simplify this, physicists often use ‘eikonal’ Feynman diagrams. Such diagrams represent a simplified version of the collision, but still retain its essential information.
The scientists focussed on the mathematical imaginary parts of the eikonal diagrams. These are important for phase differences in LHC collisions, as well as for a number of theoretical issues.
Their method involves “cutting” the diagrams into simpler pieces. The method is moreover very systematic, and may be applied to a large variety of eikonal diagrams.
Eric Laenen, Kasper J. Larsen, and Robbert Rietkerk, Imaginary Parts and Discontinuities of Wilson Line Correlators, Phys. Rev. Lett. 114, 181602 (2015).